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Aligning protein-protein interaction (PPI) networks of different species has drawn a considerable interest recently. This problem is important to investigate evolutionary conserved pathways or protein complexes across species, and to help…

Optimization and Control · Mathematics 2009-05-08 Mikhail Zaslavskiy , Francis Bach , Jean-Philippe Vert

For a given set of intervals on the real line, we consider the problem of ordering the intervals with the goal of minimizing an objective function that depends on the exposed interval pieces (that is, the pieces that are not covered by…

Data Structures and Algorithms · Computer Science 2011-12-05 Christoph Dürr , Maurice Queyranne , Frits C. R. Spieksma , Fabrice Talla Nobibon , Gerhard J. Woeginger

Computing the similarity between two protein structures is a crucial task in molecular biology, and has been extensively investigated. Many protein structure comparison methods can be modeled as maximum clique problems in specific k-partite…

Biomolecules · Quantitative Biology 2009-10-07 Noël Malod-Dognin , Rumen Andonov , Nicola Yanev

Protein similarity searches are a routine job for molecular biologists where a query sequence of amino acids needs to be compared and ranked against an ever-growing database of proteins. All available algorithms in this field can be grouped…

Computational Engineering, Finance, and Science · Computer Science 2015-08-27 Akash Nag , Sunil Karforma

A profile comparison method with position-specific scoring matrix (PSSM) is one of the most accurate alignment methods. Currently, cosine similarity and correlation coefficient are used as scoring functions of dynamic programming to…

Quantitative Methods · Quantitative Biology 2018-02-20 Kazunori D Yamada

We review algorithms for protein design in general. Although these algorithms have a rich combinatorial, geometric, and mathematical structure, they are almost never covered in computer science classes. Furthermore, many of these algorithms…

Computational Engineering, Finance, and Science · Computer Science 2019-10-01 Mark A. Hallen , Bruce R. Donald

While many good textbooks are available on Protein Structure, Molecular Simulations, Thermodynamics and Bioinformatics methods in general, there is no good introductory level book for the field of Structural Bioinformatics. This book aims…

This paper presents efficient algorithms for solving the problem of aligning a protein structure template to a query amino-acid sequence, known as protein threading problem. We consider the problem as a special case of graph matching…

Quantitative Methods · Quantitative Biology 2007-05-23 Nicola Yanev , Rumen Andonov , Philippe Veber , Stefan Balev

We address the problem of estimating a high-dimensional matrix from linear measurements, with a focus on designing optimal rank-adaptive algorithms. These algorithms infer the matrix by estimating its singular values and the corresponding…

Information Theory · Computer Science 2026-05-12 Frédéric Zheng , Yassir Jedra , Alexandre Proutiere

Proteins are the major building blocks of life, and actuators of almost all chemical and biophysical events in living organisms. Their native structures in turn enable their biological functions which have a fundamental role in drug design.…

In this paper, we propose a new splitting algorithm for dynamical low-rank approximation motivated by the fibre bundle structure of the set of fixed rank matrices. We first introduce a geometric description of the set of fixed rank matrices…

Numerical Analysis · Mathematics 2022-03-25 Marie Billaud-Friess , Antonio Falcó , Anthony Nouy

For configurations of point-sets that are pairwise constrained by distance intervals, the EASAL software implements a suite of algorithms that characterize the structure and geometric properties of the configuration space. The algorithms…

Computational Geometry · Computer Science 2018-06-06 Aysegul Ozkan , Rahul Prabhu , Troy Baker , James Pence , Jorg Peters , Meera Sitharam

Motivation. Protein design aims to identify sequences compatible with a given protein fold but incompatible to any alternative folds. To select the correct sequences and to guide the search process, a design scoring function is critically…

Biomolecules · Quantitative Biology 2007-05-23 Changyu Hu , Xiang Li , Jie Liang

Assembly of large scale structural systems in space is understood as critical to serving applications that cannot be deployed from a single launch. Recent literature proposes the use of discrete modular structures for in-space assembly and…

Multiagent Systems · Computer Science 2020-08-28 Allan Costa , Benjamin Jenett , Irina Kostitsyna , Amira Abdel-Rahman , Neil Gershenfeld , Kenneth Cheung

Deep neural networks have recently drawn considerable attention to build and evaluate artificial learning models for perceptual tasks. Here, we present a study on the performance of the deep learning models to deal with global optimization…

Neural and Evolutionary Computing · Computer Science 2020-12-18 Hojjat Rakhshani , Lhassane Idoumghar , Soheila Ghambari , Julien Lepagnot , Mathieu Brévilliers

Frameshift mutations in protein-coding DNA sequences produce a drastic change in the resulting protein sequence, which prevents classic protein alignment methods from revealing the proteins' common origin. Moreover, when a large number of…

Quantitative Methods · Quantitative Biology 2011-01-18 Marta L. Gîrdea , Laurent Noé , Gregory Kucherov

In this paper we propose an algorithm for aligning three-dimensional objects when represented as density maps, motivated by applications in cryogenic electron microscopy. The algorithm is based on minimizing the 1-Wasserstein distance…

Image and Video Processing · Electrical Eng. & Systems 2024-03-13 Amit Singer , Ruiyi Yang

The computation of the elastic shape registration of two simple surfaces in 3-dimensional space and therefore of the elastic shape distance between them has been investigated by Kurtek, Jermyn, et al. who have proposed algorithms to carry…

Differential Geometry · Mathematics 2024-09-27 Javier Bernal , Jim Lawrence

Motivation: Standard algorithms for pairwise protein sequence alignment make the simplifying assumption that amino acid substitutions at neighboring sites are uncorrelated. This assumption allows implementation of fast algorithms for…

Biomolecules · Quantitative Biology 2014-05-27 Gavin E. Crooks , Richard E. Green , Steven E. Brenner

Protein (receptor)--ligand interaction prediction is a critical component in computer-aided drug design, significantly influencing molecular docking and virtual screening processes. Despite the development of numerous scoring functions in…

Biomolecules · Quantitative Biology 2024-01-22 Haoyu Lin , Shiwei Wang , Jintao Zhu , Yibo Li , Jianfeng Pei , Luhua Lai